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The image shows a question related to the areas of triangles. The question has two parts:

**Q5. For the pair of triangles below:**
- **a)** Give a reason why the two triangles are similar.
- **b)** Find the value of \( x \).

The diagram features two triangles, one larger and one smaller, where the sides of the larger triangle are scaled versions of the smaller triangle. The task is to determine why these triangles are similar and to calculate the value of \( x \).

Would you like a detailed step-by-step solution for both parts? Also, here are a few related questions to consider:

1. What are the conditions for two triangles to be similar?
2. How can you find the scale factor between two similar triangles?
3. Can the Pythagorean theorem be used to verify the side lengths of a right triangle?
4. What is the relationship between corresponding sides of similar triangles?
5. How do angle measures help in proving triangles are similar?

**Tip:** When working with similar triangles, always check corresponding sides and angles for proportions or equal measures.

For the pair of triangles below: a) Give a reason why the two triangles are similar. b) Find the value of x.

This problem explores the concept of similar triangles and the proportionality of corresponding sides. Learn how to prove the similarity of triangles using the AA Theorem and how to calculate the missing side using proportional ratios. Suitable for students in Grades 8-10.

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